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Finding the Third Proportional to 125,550 and 271,017

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Solution

The third proportional to 125,550 and 271,017 is: 585,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,550 : 271,017 = 271,017 : x
  2. Step 2: Convert to fraction form
    125,550/271,017 = 271,017/x
  3. Step 3: Cross multiply
    125,550x = 271,017 × 271,017
  4. Step 4: Simplify right side
    125,550x = 73,450,214,289
  5. Step 5: Solve for x
    x = 73,450,214,289/125,550
  6. Step 6: Final answer
    x = 585,027.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.